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12033874432 = 29113207997
BaseRepresentation
bin10110011010100011…
…00101101000000000
31011001122212011100001
423031101211220000
5144121132440212
65310035405344
7604132150006
oct131521455000
934048764301
1012033874432
115115898a78
1223ba153854
13119a195178
14822318a76
154a6712657
hex2cd465a00

12033874432 has 40 divisors (see below), whose sum is σ = 24257142756. Its totient is φ = 5963661312.

The previous prime is 12033874399. The next prime is 12033874451. The reversal of 12033874432 is 23447833021.

It can be written as a sum of positive squares in 2 ways, for example, as 8823972096 + 3209902336 = 93936^2 + 56656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12033874391 and 12033874400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46143 + ... + 161854.

Almost surely, 212033874432 is an apocalyptic number.

It is an amenable number.

12033874432 is an abundant number, since it is smaller than the sum of its proper divisors (12223268324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12033874432 is an equidigital number, since it uses as much as digits as its factorization.

12033874432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208128 (or 208112 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 12033874432 in words is "twelve billion, thirty-three million, eight hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 3616 7232 14464 28928 57856 207997 415994 831988 1663976 3327952 6655904 13311808 23503661 26623616 47007322 53247232 94014644 106494464 188029288 376058576 752117152 1504234304 3008468608 6016937216 12033874432